What is the Greatest Common Factor of 25493 and 25497?

Greatest common factor (GCF) of 25493 and 25497 is 1.

GCF(25493,25497) = 1

We will now calculate the prime factors of 25493 and 25497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25493 and 25497.

How to find the GCF of 25493 and 25497?

We will first find the prime factorization of 25493 and 25497. After we will calculate the factors of 25493 and 25497 and find the biggest common factor number .

Step-1: Prime Factorization of 25493

Prime factors of 25493 are 13, 37, 53. Prime factorization of 25493 in exponential form is:

25493 = 13¹ × 37¹ × 53¹

Step-2: Prime Factorization of 25497

Prime factors of 25497 are 3, 2833. Prime factorization of 25497 in exponential form is:

25497 = 3² × 2833¹

Step-3: Factors of 25493

List of positive integer factors of 25493 that divides 25493 without a remainder.

1, 13, 37, 53, 481, 689, 1961

Step-4: Factors of 25497

List of positive integer factors of 25497 that divides 25493 without a remainder.

1, 3, 9, 2833, 8499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25493 and 25497. The biggest common factor number is the GCF number.
So the greatest common factor 25493 and 25497 is 1.

Also check out the Least Common Multiple of 25493 and 25497